Second stylesheet

My theme style sheet is huge and I would like to add a second style sheet for smaller content. I have tried to add a second style sheet to the header of the page but it is failing to work.

The is what I have added in the hearer.php between the headers

<link rel="stylesheet" type="text/css" media="all" href="<?php bloginfo( 'stylesheet_directory' . /stylesheet2.css ); ?>" />

Any help on this?